Greatest Common Factor of 3764 and 3767

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 3764, 3767 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3764 and 3767 is 1.

GCF(3764,3767) = 1

GCF of 3764 and 3767

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 3764 and 3767

GCF of 3764 and 3767 is 1

Prime Factorization of 3764


2 3764
2 1882
941 941
1

Prime factors of 3764 are 2,941. Prime factorization of 3764 in exponential form is:

3764 = 22×9411

Prime Factorization of 3767


3767 3767
1

Prime factors of 3767 are 3767. Prime factorization of 3767 in exponential form is:

3767 = 37671

∴ So by taking common prime factors GCF of 3764 and 3767 is 1

Greatest Common Factor of 3764 and 3767 by matching factors method

Factors of 3764

List of positive integer factors of 3764 that divides 3764 without a remainder.

1,2,4,941,1882,3764

Factors of 3767

List of positive integer factors of 3767 that divides 3767 without a remainder.

1,3767

Greatest Common Factor

We found the factors and prime factorization of 3764 and 3767. The biggest common factor number is the GCF number.
So the greatest common factor 3764 and 3767 is 1.

Also check out the Least Common Multiple of 3764 and 3767

Properties of GCF 3764 and 3767

(i) The GCF of 3764 and 3767 is associative

GCF of 3764 and 3767 = GCF of 3767 and 3764

Related Greatest Common Factor of 3764

Related Greatest Common Factor of 3767

Frequently Asked Questions on GCF of 3764 and 3767

1. What is the GCF of 3764 and 3767?

Answer: GCF of 3764 and 3767 is 1.

2. What are the Factors of 3764?

Answer: Factors of 3764 are 1, 2, 4, 941, 1882, 3764. There are 6 integers that are factors of 3764. The greatest factor of 3764 is 3764.

3. What are the Factors of 3767?

Answer: Factors of 3767 are 1, 3767. There are 2 integers that are factors of 3767. The greatest factor of 3767 is 3767.

4. How to Find the GCF of 3764 and 3767?

Answer:

Greatest Common Factor of 3764 and 3767 = 1

Step 1: Find the prime factorization of 3764

3764 = 2 x 2 x 941

Step 2: Find the prime factorization of 3767

3767 = 3767

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 3764 and 3767 is 1